Examples for secondary school students - page 144 of 230
Number of problems found: 4597
- ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - Tetrahedron - surface
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - Three workshops
2743 people are working in three workshops. In the second workshop, 140 people were more than in the first, and in the third work, 4.2 times more than in the second. How many people work in each workshop? - Percentage 5834
There are 1.5 times more women than men in the theater. What percentage of women are more than men in the theater? - Bamboo
At a certain height, the wind broke the bamboo high 32 feet, so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken? - Possibilities 5822
Peter forgot the four-digit code to his school locker lock. Fortunately, his mother remembered some information about him. He knows that the first binary number is divisible by 15 and the second by 7. However, Peter is a big loser, so he has to try all th - Two forces
The two forces, F1 = 580N and F2 = 630N, have an angle of 59 degrees. Calculate their resultant force, F. - According 5819
According to the sowing plan, sugar beet and grain are to be sown on an area of 840 ha. The area sown with sugar beet should be three times larger than the area sown with grain. What area should the grain be on? - Increases 5807
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - Exactly 5803
There are 15 black and 20 white balls in Destiny. How many ways can six balls be drawn to have exactly two whites between them? - Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately? - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent? - Contains 5779
Juice contains 20% sugar, and apple juice contains 30% sugar. How much percent of sugar will be contained in a mixture of two liters of juice and three liters of apple juice? - Variability
In the table below, the number of wrong produced goods in two shifts: morning shift: 2; 0; 6; 10; 2; 2; 4; 2; 5; 2; afternoon shift: 4; 4; 0; 2; 10; 2; 6; 2; 3; 10; Compare the variability in both shifts, compare the average number of wrong goods on both - Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical? - Daffodils 5765
The gardeners planted 1,100 flowers. Pansy is 280 less than tulips, and daffodils are 40 more than pansies. a) how many flowers did they plant? b) of the planted flowers, 5% of tulips and 2% of daffodils dried up. How many flowers continued to grow? - Four chocolates
Marek wanted to buy four chocolates but was short of 30 cents. So he bought three chocolates and chewing gum for twenty cents, and he still had 70 cents left. How much did the chocolate cost? How much did Marek have? - Borrowing
I borrow 25,000 to 6.9% p.a. and pay 500 per month. How much will I pay and for how long?
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